Draw an irregular 14-sided polyhedron which has two congruent bases.

the sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 99% confidence is 0.7168

The formula to find the sample size is given by:-

n= ( z- σ / E)^2

, where σ is the population standard deviation, z is the z-value for the

( 1-\(\alpha\))  confidence interval and E is the margin of error .

As per given , we have

Population standard deviation : σ=4.5

z-value for 95% confidence interval : z= 1.960

Margin of error : E= 3

Then, the required minimum sample :-

n= (1.96- 4.5/3)^2

this implies n = 0.7168

Hence, the required minimum sample size = 0.7168

learn more about of standard deviation here

https://brainly.com/question/13855402

#SPJ4

Yes, when multiplying an inequality by a negative, the inequality sign must be flipped.

This is because the negative number changes the direction of the inequality. For example, if the inequality is x > 4, and we multiply both sides by -2, the inequality becomes -2x < -8. The left side is now less than the right side, so the inequality sign must be changed to <. Mathematically, this can be shown as follows:

Let x > 4

Multiply both sides by -2:

-2x > -8

Flip the inequality sign:

-2x < -8

Therefore, when multiplying an inequality by a negative number, the inequality sign must be flipped.

Learn more about inequality here:

https://brainly.com/question/30228778

#SPJ4

Answer:

x=17

Step-by-step explanation:

3x+5+2x=90

5x=85

x=17

Answer:

x=17

Step-by-step explanation:

that is the answer .

Answer:

no

Step-by-step explanation:

The correct answer is Option B.

The given statement is an interpretation of a confidence interval, which is a statistical range of values that has a certain level of confidence of containing the true population parameter, in this case, the population mean of hours worked by adults in the previous week.

The interpretation correctly states that there is a 95% chance that the mean number of hours worked by adults in the previous week falls within the interval of 41.1 to 45.9 hours. This interpretation does not make any implication about individuals, but rather the population mean, which is the parameter of interest in this case. It also does not imply that the population mean varies, but rather that the true value of the mean is somewhere within the given interval with a 95% level of confidence. Finally, it does not imply that the mean is only for last week, but rather that the interval estimate is for the mean number of hours worked by adults in the previous week.

Learn more about confidence interval

brainly.com/question/13067956

#SPJ11

The question is incomplete, the complete question is;

two fractions have the same numerator, but different denominators. is the fraction with the greater denominator greater than or less than the fraction with the lesser denominator

Answer:

The fraction with the greater denominator is less than the fraction with the lesser denominator

Step-by-step explanation:

A fraction refers to a ratio of two number. A fraction has a numerator (The number on top) and a denominator (The number below).

If i have two fractions having the same numerator, then, the fraction with the greater denominator is less than the fraction with the lesser denominator.

Let me give you an instance, if i have 2/3 and 2/5.

We know that 5 > 3 hence 2/5 < 2/3

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

Read more about income

brainly.com/question/30157678

#SPJ1

Answer:

he ordered 4 additional toppings.

Step-by-step explanation:

you take the cost of the pizza ($22.75) and subtract the base ($14.95), then once you get that answer you divide it by the cost of the additional toppings ($1.95) and you get an answer of 4.

By using the simulated results and the law of large numbers, we can estimate that the probability of answering exactly 15 questions correct on a 30-question exam with a 35% chance of getting each question correct is approximately 7.2%.

Based on the simulated results, we can estimate the probability of answering exactly 15 questions correct on a 30-question exam with a 35% chance of getting each question correct. To do this, we first need to look at the histogram or table of the simulated results to see how many of the 1000 exams scored 15.

If we look at the histogram or table, we can see that there were 72 out of 1000 exams that scored exactly 15. This means that the proportion of exams that scored 15 is 72/1000 or 0.072.

Using the law of large numbers, we can estimate that this proportion is the same as the probability of answering exactly 15 questions correctly on a 30-question exam with a 35% chance of getting each question correct. Therefore, the estimated probability of answering exactly 15 questions correct is 0.072 or 7.2%.

To know more about histogram here.

https://brainly.com/question/30354484

#SPJ4

Answer:

about 254.47

Step-by-step explanation

Circle are equation: pi(r)^2

pi(9)^2 = 254.47

The degrees of freedom for a data table can be calculated using the formula:

Degrees of Freedom = (Number of Rows - 1) * (Number of Columns - 1)

In this case, the data table has 10 rows and 11 columns. Plugging these values into the formula:

Degrees of Freedom = (10 - 1) * (11 - 1) = 9 * 10 = 90

Therefore, the degrees of freedom for the given data table is 90.

To know more about freedom visit-

brainly.com/question/31650342

#SPJ11

The measure of angle c is 136/6 degrees

From the question, we have the following parameters that can be used in our computation:

∠l = (6c 35)°

Exterior of l = 79

As a general rule, the sum of an angle and its exterior is 180 degrees

This means that

6c - 35 + 79 = 180

Evaluate the like terms

So, we have

6c = 136

Divide both sides by 6

c = 136/6

Hence, the measure is 136/6 degrees

Read more about angles at

brainly.com/question/7620723

#SPJ1

Answer:

Step-by-step explanation

The set up is a right angled triangle

Given

angle of elevation = 58°

Distance of the man from the tree = adjacent = 11m

Required

Height of the tree h (Opposite)

Using the TOA identity

tan theta = opposite/adjacent

tan 58 = h/11

h = 11tan58

h = 11(1.6)

h = 17.60

Hence the tree is 17.60m tall

The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

Learn more about arithmetic progression from :

https://brainly.com/question/6561461

#SPJ11

Answer:

\((t,50-t) = \{(10,40),(20,30),(25,25)\}\)

Step-by-step explanation:

Given

\(Expression: 50 - t\)

Required

Evaluate when:

\(t = \{10,20,25\}\)

When \(t =10.\)

The expression is:

\(50 - t = 50 - 10\)

\(50 - t = 40\)

When t = 20

The expression is:

\(50 - t = 50 - 20\)

\(50 - t =30\)

When \(t = 25\)

The expression is:

\(50 - t = 50 - 25\)

\(50 - t =25\)

The result is:

\((t,50-t) = \{(10,40),(20,30),(25,25)\}\)

100 is the answer okay

The individual events of randomly meeting either a woman or an American in the given group are overlapping. The probability of the combined event can be determined by adding the probabilities of each individual event.

To determine whether the individual events are overlapping or non-overlapping, let's analyze each event separately:

Event 1: Randomly meeting either a woman or an American in a group composed of 30 French men, 15 American men, 10 French women, and 35 American women.

This event involves two sub-events: meeting a woman and meeting an American. These sub-events are non-overlapping since one cannot be both a woman and an American simultaneously. Therefore, the individual events are non-overlapping.

Event 2: Getting a sum of either 4, 6, or 10 on a roll of two dice.

This event involves three sub-events: getting a sum of 4, getting a sum of 6, and getting a sum of 10. These sub-events are mutually exclusive, meaning that they cannot occur simultaneously. For example, if you roll a sum of 4, you cannot roll a sum of 6 or 10 at the same time. Therefore, the individual events are non-overlapping.

To find the probability of the combined event, we need to calculate the probabilities of each sub-event and then add them together.

Sub-event 1: Getting a sum of 4 on a roll of two dice.

There are three ways to obtain a sum of 4: (1, 3), (2, 2), and (3, 1). Each outcome has a probability of 1/36 since there are 36 equally likely outcomes when rolling two dice. So the probability of getting a sum of 4 is 3/36 = 1/12.

Sub-event 2: Getting a sum of 6 on a roll of two dice.

There are five ways to obtain a sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1). Each outcome has a probability of 1/36. So the probability of getting a sum of 6 is 5/36.

Sub-event 3: Getting a sum of 10 on a roll of two dice.

There are three ways to obtain a sum of 10: (4, 6), (5, 5), and (6, 4). Each outcome has a probability of 1/36. So the probability of getting a sum of 10 is 3/36 = 1/12.

Now, we can calculate the probability of the combined event by adding the probabilities of the individual sub-events:

Probability of combined event = Probability of getting a sum of 4 + Probability of getting a sum of 6 + Probability of getting a sum of 10

= 1/12 + 5/36 + 1/12

= 1/12 + 5/36 + 1/12

= (3 + 5 + 3)/36

= 11/36

Therefore, the probability of the combined event of getting a sum of either 4, 6, or 10 on a roll of two dice is 11/36.

Learn more about probability here:

https://brainly.com/question/29485420

#SPJ11

Answer:

t=9.48n+119.88

Step-by-step explanation:

where t is the total cost of 12 t-shirts, and n is the number of words in the design

0.75n+9.99 is the equation for custom made t-shirts, and n represents the number of words in the design

t=12(0.75n+9.99)

where t is the total cost of t-shirts, and n is the number of words in the design

When simplified, this becomes t=9.48n+119.88

can i get brainliest please?

Answer:

B, C ,E

Step-by-step explanation:

B <2 = <6  they are alternate interior angles

C <1 + <6 = 180  <1 + 75 = 180  and 75 and <6 are equal because they are corresponding angle so <1 + <6 = 180

E x = 120

<1 + <6 = 180

<1 + 75 = 180

<1 = 105

<1 =x-15

105 = x-15

Add 15

120 =x

Mapping the locations of robberies over the last year is best done with a choropleth map. A choropleth map is a type of map that uses different colors to represent different levels of a given variable across a geographic area. This would be the most appropriate mapping classification for visualizing the data distribution of robbery locations.

Graduated Symbol Classification

Mapping classification that is most appropriate in mapping robbery locations over the last year to get a sense of the data distribution is Graduated Symbol Classification.What is mapping?Mapping is the creation of maps, which are graphical representations of the Earth's surface or other physical entities. Mapping has many benefits in today's society, including in the areas of spatial analysis, cartography, and geographic information systems. Different types of maps can be created based on the goals of the cartographer, such as topographic maps, road maps, and weather maps.Graduated Symbol Classification:Graduated Symbol Classification is a technique in which different symbol sizes are utilized to represent different feature values of a specific thematic map variable. In this type of classification, the variable is divided into a few groups or classes, with each class having a specific range of values. The same symbol is used to indicate each class, but its size varies depending on the value of the variable.A graduated symbol map, in which a variety of symbols are used to represent different feature values, is one of the most efficient ways to display quantitative data. Graduated symbols are most commonly utilized for the following thematic maps: population density, magnitude of an earthquake, or frequency of an event.

  Learn more about mapping

  brainly.com/question/24267908

  #SPJ11

\(-4x-1=-y\\y\)

Flip the equation:

\(-y=-4x-1\)

Divide both sides by -1:

\(\frac{-y}{-1} =\frac{-4x-1}{-1}\)

\(y=4x+1\)

__________________________________________________________

\(-4y+20+3x=0\\y\)

Add -3x to both sides of the equation:

\(3x-4y+20+-3x=0+-3x\\-4y+20=-3x\)

Add -20 to both sides of the equation:

\(-4y+20+-20=-3x+-20\\-4y=-3x-20\)

Divide both sides by -4:

\(\frac{-4y}{-4} =\frac{-3x-20}{-4}\)

\(y=\frac{3}{4} x+5\)

Answer:

Step-by-step explanation:

number greater than 7

it is clearly impossible

It is impossible that the probability of rolling 15 with a pair of dice.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Required the probability of rolling 15 with a pair of dice.

But we know that in the roll of a pair of fair dice,

Then the sample space is as follows:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Hence, It is impossible that probability of rolling 15 with a pair of dice.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

Learn more about percentage here:

brainly.com/question/24159063

#SPJ1

The area of the parallelogram of height 9 in and base 13 in will be 117in².

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

WE have given a parallelogram of height 9 in and base 13 in.

So,

The area of a parallelogram = Base x Height

A = Base x Height

A = 13 × 9

A = 117in²

Hence, the area of the parallelogram will be 117in².

Learn more about the area;

https://brainly.com/question/1658516

#SPJ1

Answer:

R384,480

Step-by-step explanation:

Please note that annual means one year.

With this in mind, we multiply the amount by 12 because twelve months make up a year.

That is 32,040 x 12 = R384,480

Therefore, Mrs.Chauke’s annual income if she earns R32 040 per month is:

By direct multiplication, we will see that Mrs. Chauke's annual income is R384,480

We know that she earns R32,040 per month.

To get the annual income, we need to multiply what she earns each month by the number of months in one year.

We know that in one year there are 12 months, so the annual income is just:

A = R32,040*12 = R384,480

The annual income is  R384,480

If you want to learn more about multiplications, you can read:

https://brainly.com/question/10873737

Answer:

This is the correct solution for your question

The discount rate raised to nth power.

NPV is defined as Net Present Value. It is mainly used in capital budgeting and investment planning for the purpose of analyzing the project profit. NPV is the difference between  the present value of cash inflows and the present value of cash outflows in a period of time. The occurrence of cashflows in a series at different times is termed as NPV. NPV is a measure widely used in finance and commercial real estate. It is used to help taking decisions in accounting calculation. The cashflow that is discounted can be termed as NPV.

A simple example for NPV is, If a security offers a series of cashflows with an NPV of $30,000 and an investor pays exactly $30,000 for it, then the  investor's, NPV is $0.

To know more about NPV, visit:

https://brainly.com/question/13084964

#SPJ4

Answer:

3x+4<13

3x<9

x<3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

69 years

Step-by-step explanation:

Data provided in the question

Born date of an Ancient Greek = April 1st 35 BC

Diet date of an Ancient Greek = Aril 1st 35 AD

Based on the above information

We can say that

35 + 35 = 70

We deduct 1 as there is no zero

So, it would be

= 70 - 1 year

= 69 years

Hence, An ancient greek lives 69 years and the same is to be considered